(x+3)² + (y+5)² = 200

Answer:The equation (x+3)² + (y+5)² = 200 represents a circle. EXPLANATION Understanding the EquationStandard Form of a Circle: The general equation of a circle is: (x - h)² + (y - k)² = r²(h, k) represents the center of the circle.r represents the radius of the circle.Our Equation: (x + 3)² + (y + 5)² = 200The center of the circle is (-3, -5) because (x + 3) is equivalent to (x - (-3)) and (y + 5) is equivalent to (y - (-5)).The radius of the circle is √200, which simplifies to 10√2.What it MeansThis equation describes all the points (x, y) that are exactly 10√2 units away from the point (-3, -5). This set of points forms a circle.Visualizing the CircleYou can graph this circle by:Plotting the Center: Mark the point (-3, -5) on a coordinate plane.Radius: From the center, measure out a distance of 10√2 units in all directions.Drawing the Circle: Connect the points you marked to form a circle.

Answered by abutogarlene4 | 2024-09-07